Title: The Tools of Mathematical Reasoning (Pure and Applied Undergraduate Texts, 26)
Author: Tamara Lakins
Publisher: American Mathematical Society (September 19, 2018)
Description:
“The Tools of Mathematical Reasoning” serves as a foundational textbook in mathematical reasoning, designed for undergraduate students in pure and applied mathematics. Authored by Tamara Lakins, this book provides a comprehensive introduction to the essential concepts, techniques, and strategies used in mathematical reasoning. Through clear explanations, illustrative examples, and exercises, students learn how to develop logical arguments, construct proofs, and solve mathematical problems effectively. The book covers topics such as logic, set theory, functions, relations, induction, and mathematical writing, offering a solid framework for building mathematical reasoning skills. With its accessible approach and emphasis on active learning, “The Tools of Mathematical Reasoning” is an invaluable resource for students seeking to develop proficiency in mathematical thinking and problem-solving. Whether used in introductory mathematics courses or as a reference for self-study, this book equips students with the foundational tools needed for success in advanced mathematics.